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# Three billy goat gruff and the law of syllogism

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### Three billy goat gruff and the law of syllogism - Page Text Content

FC: The Three Billy Goats Gruff and the Law of Syllogism

1: The Law of Syllogism If p yields q and q yields r, then p yields r.

3: If there are three billy goat gruffs,

4: then they are hungry.

7: If they are hungry,

8: then they will want to cross the bridge.

11: If they want to cross the bridge,

12: then the little billy goat gruff will go first.

15: If the little billy goat gruff goes first,

16: then he will meet the troll.

19: If he meets the troll,

20: then the troll will want to eat him.

23: If the troll wants to eat him,

24: then the little billy goat gruff will convince the troll to wait for the medium sized billy goat gruff.

27: If the little billy goat gruff convinces the troll to wait for the medium sized billy goat gruff,

28: then the medium sized billy goat gruff will try to cross the bridge.

31: If the medium sized billy goat gruff tries to cross the bridge,

32: then the troll will want to eat him.

35: If the troll wants to eat him,

36: then the medium sized billy goat gruff will convince the troll to wait for the big billy goat gruff.

39: If the medium billy goat gruff convinces the troll to wait for the big billy goat gruff,

40: then the big billy goat gruff will try to cross the bridge,

43: If the big billy goat gruff tries to cross the bridge,

44: then he will meet the troll,

47: If he meets the troll,

48: then the troll will try to eat him.

51: If the troll tries to eat him,

52: then the big billy goat gruff will push him over the bridge.

55: If the big billy goat gruff pushes the troll over the bridge,

56: then the three billy goat gruffs will live happily ever after.

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• By: Denise S.
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